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Simplifying 4.66(4.857x + 0.5) = -88.333 Reorder the terms: 4.66(0.5 + 4.857x) = -88.333 (0.5 * 4.66 + 4.857x * 4.66) = -88.333 (2.33 + 22.63362x) = -88.333 Solving 2.33 + 22.63362x = -88.333 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.33' to each side of the equation. 2.33 + -2.33 + 22.63362x = -88.333 + -2.33 Combine like terms: 2.33 + -2.33 = 0.00 0.00 + 22.63362x = -88.333 + -2.33 22.63362x = -88.333 + -2.33 Combine like terms: -88.333 + -2.33 = -90.663 22.63362x = -90.663 Divide each side by '22.63362'. x = -4.005678279 Simplifying x = -4.005678279
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